You can using the EventLog class, as explained on How to: Write to the Application Event Log (Visual C#):
var appLog = new EventLog("Application");
appLog.Source = "MySource";
appLog.WriteEntry("Test log message");
However, you'll need to configure this source "MySource" using administrative privileges:
Use WriteEvent and WriteEntry to write events to an event log. You must specify an event source to write events; you must create and configure the event source before writing the first entry with the source.